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A single-phase alternator produces an armature current of 200 A under short-circuit conditions and an open-circuit generated e.m.f. of 50 V for a given field current. The armature resistance is 0.1 Ω. Determine the required induced voltage for the alternator to supply a load current of 100 A at a power factor of 0.7 leading, with a terminal voltage of 200 V.